EC > GATE 2026 > Orthogonal Signals
Let x1(t) = cos(2πnt) and x2(t) = 2sin(4πnt) represent two sinusoids for a positive integer n and −∞ < t < ∞.
Which of the following statements about x1(t) and x2(t) is/are valid?
A
x1(t) and x2(t) are orthogonal to each other over 0 ≤ t < 1/n.
B
x1(t) and x2(t) are orthonormal to each other over 0 ≤ t < 1/n.
C
x2(t) is a harmonic of x1(t).
D
x1(t) and x2(t) are non-orthogonal to each other over 0 ≤ t < 1/(2n).

Correct :

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